On a q-Paley–Wiener theorem

After the analysis of the q-even translation and the q-cosine Fourier transform by A. Fitouhi and F. Bouzeffour in [q-cosine Fourier transform and q-heat equation, Ramanujan J., in press], it is natural to look for the q-analogue of some well-known classical theorems. In this paper, we purpose to give a q-version of the Paley–Wiener theorem related to this Fourier transform using standard methods of the q-calculus.  2004 Published by Elsevier Inc